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Periodically kicked turbulence

Lohse1

  • 1Department of Applied Physics and J. M. Burgers Centre for Fluid Dynamics, University of Twente, 7500 AE Enschede, Netherlands.

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|November 23, 2000
PubMed
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Periodically kicked turbulence shows exponential Reynolds number growth and saturation. Saturation levels are analytically calculable, with a proposed scaling law dependent on kicking strength and frequency, offering insights into turbulence forcing.

Area of Science:

  • Fluid dynamics
  • Turbulence theory
  • Nonlinear dynamics

Background:

  • Fully developed turbulence is a complex phenomenon.
  • Understanding the effect of external forcing on turbulence is crucial.
  • Mean-field theory provides a framework for analyzing turbulent systems.

Purpose of the Study:

  • To theoretically analyze periodically kicked turbulence.
  • To investigate the behavior of the Reynolds number under periodic forcing.
  • To predict and characterize different saturation regimes of turbulence.

Main Methods:

  • Application of mean-field theory.
  • Analytical calculation of saturation levels for the Reynolds number.
  • Identification of scaling laws for turbulence saturation.

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Main Results:

  • Exponential growth of the Reynolds number for sufficient kicking strength and frequency.
  • Saturation of the Reynolds number.
  • Analytical prediction of saturation levels, Re(sat) ≈ Af for large Reynolds numbers.
  • Observation of different regimes and the influence of intermittency on scaling laws.

Conclusions:

  • Periodically kicked turbulence exhibits predictable saturation behavior.
  • The study provides an analytical framework to understand turbulence forcing.
  • Experimental realization is suggested to validate theoretical predictions and explore turbulence regimes.